y(x)=2x^3+12x^2+4x

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Solution for y(x)=2x^3+12x^2+4x equation: 


Simplifying
y(x) = 2x3 + 12x2 + 4x

Multiply y * x
xy = 2x3 + 12x2 + 4x

Reorder the terms:
xy = 4x + 12x2 + 2x3

Solving
xy = 4x + 12x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-4x + xy + -12x2 + -2x3 = 4x + 12x2 + 2x3 + -4x + -12x2 + -2x3

Reorder the terms:
-4x + xy + -12x2 + -2x3 = 4x + -4x + 12x2 + -12x2 + 2x3 + -2x3

Combine like terms: 4x + -4x = 0
-4x + xy + -12x2 + -2x3 = 0 + 12x2 + -12x2 + 2x3 + -2x3
-4x + xy + -12x2 + -2x3 = 12x2 + -12x2 + 2x3 + -2x3

Combine like terms: 12x2 + -12x2 = 0
-4x + xy + -12x2 + -2x3 = 0 + 2x3 + -2x3
-4x + xy + -12x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-4x + xy + -12x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + y + -12x + -2x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + y + -12x + -2x2)' equal to zero and attempt to solve:

Simplifying
-4 + y + -12x + -2x2 = 0

Reorder the terms:
-4 + -12x + -2x2 + y = 0

Solving
-4 + -12x + -2x2 + y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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